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Finding the Fourth Proportional to 56,202.24, 84,303.36 and 14,646

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Solution

The fourth proportional to 56,202.24, 84,303.36 and 14,646 is: 21,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.24 : 84,303.36 = 14,646 : x
  2. Step 2: Convert to fraction form
    56,202.24/84,303.36 = 14,646/x
  3. Step 3: Cross multiply
    56,202.24x = 84,303.36 × 14,646
  4. Step 4: Simplify right side
    56,202.24x = 1,234,707,010.56
  5. Step 5: Solve for x
    x = 1,234,707,010.56/56,202.24
  6. Step 6: Final answer
    x = 21,969

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.